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DLMF:28.29.E12

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Formula:9184
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MaRDI QIDQ9184

  • Label: DLMF:28.29.E12


Digital Library of Mathematical Functions ID 28.29.E12

[ w I ⁢ ( π , λ ) w II ⁢ ( π , λ ) w I ′ ⁢ ( π , λ ) w II ′ ⁢ ( π , λ ) ] = [ ( - 1 ) ν 0 0 ( - 1 ) ν ] . subscript 𝑤 I 𝜋 𝜆 subscript 𝑤 II 𝜋 𝜆 subscript superscript 𝑤 ′ I 𝜋 𝜆 subscript superscript 𝑤 ′ II 𝜋 𝜆 superscript 1 𝜈 0 0 superscript 1 𝜈 {\displaystyle{\displaystyle\begin{bmatrix}w_{\mbox{\tiny I}}(\pi,\lambda)&w_{% \mbox{\tiny II}}(\pi,\lambda)\\ w^{\prime}_{\mbox{\tiny I}}(\pi,\lambda)&w^{\prime}_{\mbox{\tiny II}}(\pi,% \lambda)\end{bmatrix}=\begin{bmatrix}(-1)^{\nu}&0\\ 0&(-1)^{\nu}\end{bmatrix}.}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  • w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}} : Mathieu’s equation solution
  • w I ⁢ ( z ; a , q ) subscript 𝑤 I 𝑧 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny I}}(z;a,q)}} : fundamental solution
  • w II ⁢ ( z ; a , q ) subscript 𝑤 II 𝑧 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny II}}(z;a,q)}} : fundamental solution
  • λ 𝜆 {\displaystyle{\displaystyle\lambda}} : parameter
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This page was last edited on 28 January 2024, at 10:30.
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